Linear Wave Theory

Linear Wave Theory describes how waves on a fluid surface, like ocean waves, behave when their amplitudes are small relative to their wavelengths. In this theory, waves are modeled as small, sinusoidal oscillations that do not interact with each other significantly. The waves move at constant speeds, and their shapes remain consistent over time. This simplifying approximation allows scientists to predict wave behavior, such as height and speed, using linear equations, making it easier to understand and analyze wave dynamics in various oceanographic and engineering applications.